The Wiess School of Natural Sciences
Mathematics lies at the foundation of many disciplines in the sciences, engineering fields, and the social sciences, and this influence is growing as these subjects become increasingly quantitative. Recognizing this important role in the wide variety of directions available to our degree recipients, the program in mathematics provides undergraduates with a spectrum of choices. These range from nontheoretical treatments of calculus and courses in combinatorics, elementary number theory, and projective geometry to a broad variety of sophisticated mathematics, including real and complex analysis, differential geometry, abstract algebra, algebraic and geometric topology, algebraic geometry, dynamics, and partial differential equations.
Faculty research interests range from differential geometry, ergodic theory, group representations, partial differential equations, and probability to real analysis, mathematical physics, complex variables, algebraic geometry, number theory, combinatorics, geometric topology, algebraic topology, and dynamics.
Jump to: BA Degree with a Major in Mathematics BS Degree with a Major in Mathematics Minor in Mathematics
Upon completing the BA degree, a student majoring in Mathematics will be able to:
For general university requirements, see Graduation Requirements. Students pursuing the BA degree with a major in Mathematics (MATH) must complete:
Students may choose between the regular Mathematics major (single major) and the double major. The requirements for both single majors and double majors are listed below, and are the same, with the exception of the Electives requirement, which is noted under Electives.
Students receive advanced placement credit for MATH 101 by achieving a score of four or five on the AP AB-level test and for MATH 101 and 102 by achieving a score of four or five on the BC-level test. Students who have had calculus but have not taken the AP test may petition the department for a waiver of the calculus requirements. Entering students should enroll in the most advanced course commensurate with their background; advice is available from the mathematics faculty during Orientation Week and at other times.
CORE REQUIREMENTS Students must complete a total of 4 courses (12 credit hours) as listed below to satisfy the Mathematics major's Core Requirements.
ELECTIVES To fulfill the remaining Mathematics major requirements, students must complete a total of 8 additional courses (24 credit hours) from departmental course offerings at the 300-level or above.
Note: The Elective requirements for the double major are the same as the single major except that students may substitute approved mathematics-related courses for up to 3 courses (9 credit hours) of the 8 courses (24 credit hours) required at the 300-level or above. back to menu
Upon completing the BS degree, a student majoring in Mathematics will be able to:
For general university requirements, see Graduation Requirements. Students pursuing the BS degree with a major in Mathematics (MATH) must complete:
These requirements are in addition to general university graduation requirements. The chair of the undergraduate committee of the MATH department may modify requirements to meet the needs of students with advanced backgrounds. At most, students can take one course (three credit hours) for any given course number to use toward the degree.
CORE REQUIREMENTS Students must complete a total of 12-13 courses depending on course selection (36-39 credit hours) as listed below to satisfy the Mathematics major's Core Requirements.
Single Variable CalculusStudents must complete the following 2 courses (6 credit hours):
Differential Equations Students must complete 1 course (3 credit hours) from the following:
Multivariable CalculusStudents must complete 1-2 courses (3-6 credit hours) depending on course selection as listed below.
Linear Algebra Students must complete 1 course (3 credit hours) from the following:
Real Analysis Students must complete a total of 2 courses (6 credit hours) from the following:
Algebra Students must complete the following 2 courses (6 credit hours):
Geometry and Manifolds Students must complete 1 course (3 credit hours) from the following:
Complex Analysis Students must complete 1 course (3 credit hours) from the following:
Topology Students must complete 1 course (3 credit hours) from the following:
ELECTIVESTo fulfill the remaining Mathematics major requirements, students must complete a total of 11 courses (33 credit hours) from departmental course offerings at the 300-level or above. This requirement can include courses taken from the Core Requirements and as Elective courses. back to menu
To complete the minor in Mathematics (MATM), students must complete:
Certain approved classes taken outside the mathematics department may be used to satisfy one area of the Core Requirements, but will not count towards the required 6 courses (18 credit hours). An approved upper-level MATH course (other than 490 or 499) may be used to satisfy an area of the Core Requirements. Students seeking to substitute approved courses should consult in advance with the chair of the undergraduate committee. At most one course (three credit hours) from any particular course or course number may be applied to the minor.
CORE REQUIREMENTSStudents must complete 1 course (3 credit hours) from each of the three areas listed below to satisfy the Mathematics minor's Core Requirements.
Analysis Students must complete 1 course (3 credit hours) from the following:
Discrete Mathematics and Algebra Students must complete 1 course (3 credit hours) from the following:
Linear Algebra Students must complete 1 course (3 credit hours) from the following:
ELECTIVESTo fulfill the remaining Mathematics minor requirements, students must complete a total of 3 additional courses (9 credit hours) from departmental (MATH) course offerings.back to menu
Note: Internally, the university uses the following abbreviations (4-digit codes) to identify the Mathematics undergraduate degrees, major, and minor. The following is a quick reference:
Course Catalog/Schedule - Course offerings/subject code: MATH Department Description and Code - Mathematics: MATH Degree Description and Code - Bachelor of Arts degree: BA - Bachelor of Science degree: BS Major Description and Code - Major in Mathematics (attached to both the BA and BS Degrees): MATH Minor Description and Code - Minor in Mathematics: MATM
Students graduating from this program will:
Admission to graduate study in mathematics is granted to a limited number of students who have indicated an ability for advanced and original work. Normally, students take one or two years after the BA degree to obtain an MA degree, and they take four or five years to obtain a PhD. An MA is not a prerequisite for the PhD. For general university requirements, see Graduate Degrees.
A number of graduate scholarships and fellowships are available, awarded on the basis of merit. As part of the graduate education in mathematics, students also engage in teaching or other instructional duties, generally for no more than six hours a week.
For courses carrying dual undergraduate and graduate numbers, (e.g., MATH 463/563), the 500-level version is intended to prepare students for advanced work in mathematics. In particular, written assignments should be prepared to high professional standards. Mathematics graduate students should enroll in the 500-level version.
MA Program—Although students are not normally admitted to study for a masters degree, the department does offer non-thesis and thesis MA degrees. Doctoral students may petition for these once they have satisfied all university and departmental requirements.
Candidates for the MA in mathematics must:
PhD Program—Candidates for the PhD in mathematics must:
Qualifying Examinations—The qualifying examinations in mathematics consist of the general examinations and the advanced oral examination.
To complete the general examinations, students must take exams, one each in algebra, analysis, and topology. Exams are offered every August, January, and May. First-year students may take any combination of exams at any time. After two semesters of study, students must attempt to pass all remaining exams at each offering. Students must perform satisfactorily on all three by the January exams at the beginning of their fourth semester. The judgment of satisfactory performance on the general examinations for either the MA or PhD degree is the responsibility of the department graduate committee. Students may take an exam several times.
To complete the advanced oral examination, students must select a special field (e.g., homotopy theory, several complex variables, or group theory) and submit it to the department graduate committee for approval. The committee schedules an advanced examination in the selected field, normally six to twelve months after the student completes the general examinations. While students failing the advanced examination may, with the approval of the committee, retake it on the same or possibly on a different topic, they generally are not allowed to take the advanced examination more than twice.
Descriptions andCodes Legend
Note: Internally, the university uses the following abbreviations (4-digit codes) to identify the Mathematics graduate degree program. The following is a quick reference:
Course Catalog/Schedule - Course offerings/subject code: MATHDepartment Description and Code - Mathematics: MATHDegree Descriptions and Codes - Master of Arts degree: MA - Doctor of Philosophy degree: PhDDegree Program Description and Code - Degree Program in Mathematics: MATH
The official course offerings, including course descriptions, for Mathematics can be found in Rice's Course Catalog.
To view the most recent course schedule for the 2016-2017 academic year, see Rice's Course Schedule.
For additional information regarding Mathematics, see the department's website: http://math.rice.edu/.